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Research Article Open access CC BY 4.0

An Interactive Approach for Solving Fuzzy Multi-objective Assignment Problems

H. A. Khalifa, M. Al-Shabi

Journal of Advances in Mathematics and Computer Science · pp. 1–12 · Published 20 Sep 2018

10.9734/JAMCS/2018/44339

Abstract

This paper aims to study fuzzy multi-objective assignment (F-MOAS) problem. The problem is considered by incorporating trapezoidal fuzzy numbers. Through the α- level sets, the problem under consideration is converted into the corresponding ( α- MOAS). An interactive approach to improve the weights in the Weighted Tchebysheff program is suggested. Then the stability set of the first kind without differentiability corresponding to the resulted solution is determined. A numerical example is given for illustration.

Multi-objective assignment problem fuzzy numbers interactive decision making α -efficient solution parametric study

Cited by 3

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